The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Pour maintenir les services basés sur la blockchain tout en garantissant leur sécurité, il est important de savoir comment décider d'une récompense minière afin que le nombre de mineurs participant au minage augmente. Nous proposons un modèle dynamique de prise de décision pour les mineurs en utilisant une approche de jeu évolutive et analysons la stabilité des points d'équilibre du modèle proposé. Le modèle proposé est décrit par l'équation différentielle du 1er ordre. C'est donc simple mais son analyse théorique donne un aperçu des caractéristiques de la prise de décision. A travers l'analyse des points d'équilibre, nous montrons les bifurcations transcritiques et les phénomènes d'hystérésis des points d'équilibre. Nous concevons également un contrôleur qui détermine la récompense minière en fonction du nombre de mineurs participants afin de stabiliser l'état dans lequel tous les mineurs participent au minage. La simulation numérique montre qu'il existe un compromis dans le choix des paramètres de conception.
Kosuke TODA
Osaka University
Naomi KUZE
Osaka University
Toshimitsu USHIO
Osaka University
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Copier
Kosuke TODA, Naomi KUZE, Toshimitsu USHIO, "Stability Analysis and Control of Decision-Making of Miners in Blockchain" in IEICE TRANSACTIONS on Fundamentals,
vol. E105-A, no. 4, pp. 682-688, April 2022, doi: 10.1587/transfun.2021EAP1099.
Abstract: To maintain blockchain-based services with ensuring its security, it is an important issue how to decide a mining reward so that the number of miners participating in the mining increases. We propose a dynamical model of decision-making for miners using an evolutionary game approach and analyze the stability of equilibrium points of the proposed model. The proposed model is described by the 1st-order differential equation. So, it is simple but its theoretical analysis gives an insight into the characteristics of the decision-making. Through the analysis of the equilibrium points, we show the transcritical bifurcations and hysteresis phenomena of the equilibrium points. We also design a controller that determines the mining reward based on the number of participating miners to stabilize the state where all miners participate in the mining. Numerical simulation shows that there is a trade-off in the choice of the design parameters.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2021EAP1099/_p
Copier
@ARTICLE{e105-a_4_682,
author={Kosuke TODA, Naomi KUZE, Toshimitsu USHIO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Stability Analysis and Control of Decision-Making of Miners in Blockchain},
year={2022},
volume={E105-A},
number={4},
pages={682-688},
abstract={To maintain blockchain-based services with ensuring its security, it is an important issue how to decide a mining reward so that the number of miners participating in the mining increases. We propose a dynamical model of decision-making for miners using an evolutionary game approach and analyze the stability of equilibrium points of the proposed model. The proposed model is described by the 1st-order differential equation. So, it is simple but its theoretical analysis gives an insight into the characteristics of the decision-making. Through the analysis of the equilibrium points, we show the transcritical bifurcations and hysteresis phenomena of the equilibrium points. We also design a controller that determines the mining reward based on the number of participating miners to stabilize the state where all miners participate in the mining. Numerical simulation shows that there is a trade-off in the choice of the design parameters.},
keywords={},
doi={10.1587/transfun.2021EAP1099},
ISSN={1745-1337},
month={April},}
Copier
TY - JOUR
TI - Stability Analysis and Control of Decision-Making of Miners in Blockchain
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 682
EP - 688
AU - Kosuke TODA
AU - Naomi KUZE
AU - Toshimitsu USHIO
PY - 2022
DO - 10.1587/transfun.2021EAP1099
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E105-A
IS - 4
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - April 2022
AB - To maintain blockchain-based services with ensuring its security, it is an important issue how to decide a mining reward so that the number of miners participating in the mining increases. We propose a dynamical model of decision-making for miners using an evolutionary game approach and analyze the stability of equilibrium points of the proposed model. The proposed model is described by the 1st-order differential equation. So, it is simple but its theoretical analysis gives an insight into the characteristics of the decision-making. Through the analysis of the equilibrium points, we show the transcritical bifurcations and hysteresis phenomena of the equilibrium points. We also design a controller that determines the mining reward based on the number of participating miners to stabilize the state where all miners participate in the mining. Numerical simulation shows that there is a trade-off in the choice of the design parameters.
ER -